Finding the Fourth Proportional to 509.76, 764.98 and 201.60
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Solution
The fourth proportional to 509.76, 764.98 and 201.60 is: 302.53
Step by Step Solution
- Step 1: Write the proportion equation
509.76 : 764.98 = 201.60 : x - Step 2: Convert to fraction form
509.76/764.98 = 201.60/x - Step 3: Cross multiply
509.76x = 764.98 × 201.60 - Step 4: Simplify right side
509.76x = 154,219.97 - Step 5: Solve for x
x = 154,219.97/509.76 - Step 6: Final answer
x = 302.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.